Answer:
Hello! Sure, let's break down Nelson's camping trip scenario:
a) Representing the number of logs he will use:
Let ( x) represent the number of hours Nelson spends collecting firewood. The expression for the number of logs he will use is (6 + 3x), where 6 is the initial number of logs, and 3x accounts for the additional logs collected each hour.
b) Calculating for a two-night stay:
If they stay for 2 nights, Nelson will need firewood for two days, which is 48 hours (2 nights * 24 hours per night). The expression for the number of logs he would need is \( 6 + 3(48).
c) Creating a model using algebra tiles:
Representing \( 6 + 3(48) \) with algebra tiles involves creating a rectangle with a length of \( 6 + 3(48) \) units and a width of 1 unit for each log. The area of the rectangle represents the total number of logs needed.
d) Rewriting the expression in fewest terms:
Simplifying \( 6 + 3(48) \) gives \( 6 + 144 \), which further simplifies to \( 150 \). Therefore, the expression in the fewest terms is \( 150 \), representing the total number of logs Nelson needs for the two-night camping trip.
